Axial guided wave characteristics in functionally graded one-dimensional hexagonal piezoelectric quasi-crystal cylinders. (January 2022)

• Record Type: Journal Article
• Authors: Zhang, B.; Wang, X.H.; Elmaimouni, L.; Yu, J.G.; Zhang, X.M.
• Is Part Of: Mathematics and mechanics of solids. Volume 27:Number 1(2022)
• Page Start: 125
• Page End: 143
• Publication Date: 2022-01
• Subjects: Guided waves -- functionally graded piezoelectric quasi-crystal -- cut-off frequency -- phonon–phason coupling effect -- piezoelectric effect; Materials -- Mechanical properties -- Periodicals; Solids -- Periodicals; Materials science -- Mathematics -- Periodicals; 620.11205
• DOI: 10.1177/10812865211013458
• Languages: English
• ISSNs: 1081-2865

Abstract

In one-dimensional hexagonal piezoelectric quasi-crystals, there exist the phonon–phason, electro–phonon, and electro–phason couplings. Therefore, the phonon–phason coupling and piezoelectric effects on axial guided wave characteristics in one-dimensional hexagonal functionally graded piezoelectric quasi-crystal (FGPQC) cylinders are investigated by utilizing the Legendre polynomial series method. The dispersion curves and cut-off frequencies are illustrated. Wave characteristics in three hollow cylinders with different quasi-periodic directions are comparatively studied. Some new wave phenomena are revealed: the phonon–phason coupling and piezoelectric effects on the longitudinal and torsional phonon modes ( N = 0) vary as the quasi-periodic direction changes; the phonon–phason coupling effect on flexural–torsional modes in the r -, z -FGPQC hollow cylinders, and on flexural–longitudinal modes in ϑ -FGPQC hollow cylinders increases as N increases. The corresponding results obtained in this work lay the theoretical foundation for the design and manufacture of piezoelectric transducers with high resolution and energy-conversion efficiency.